Least Common Multiple of 828/741, 363/341, 694/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/741, 363/341, 694/498 quickly i.e. 34765236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/741, 363/341, 694/498 is 34765236.

LCM(828/741, 363/341, 694/498) = 34765236

LCM of 828/741, 363/341, 694/498

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 828/741,363/341,694/498

Given numbers are 828/741,363/341,694/498

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 828,363,694

Least Common Multiple of Numerators i.e. LCM of 828,363,694 is 34765236.

GCF of Denominators means GCF of 741,341,498 as per the given fractions.

GCF of 741,341,498 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,363,694

LCM of Fractions 828/741,363/341,694/498 is 34765236

2 828, 363, 694
3 414, 363, 347
138, 121, 347

∴ So the LCM of the given numbers is 2 x 3 x 138 x 121 x 347 = 34765236

Least Common Multiple of 828,363,694 with GCF Formula

Least Common Multiple of 828,363,694 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 828,363,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,363,694) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(828,363,694) x common factors =1 x 6 = 6

LCM(828,363,694) = ( 828 × 363 × 694 ) / 6

LCM(828,363,694) = 208591416 / 6

LCM(828,363,694) = 34765236


Lets's calculate GCF of 741,341,498

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34765236/1

Therefore the LCM of Fractions 828/741,363/341,694/498 is 34765236

Greatest Common Factor of 741,341,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,341,498 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 741,341,498 . The biggest common factor number is the GCF number.
So the greatest common factor 741,341,498 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 828/741, 363/341, 694/498

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 828/741, 363/341, 694/498?

Answer: LCM of Numerators as per given numbers 828/741, 363/341, 694/498 is

LCM of Numerators i.e. for 828,363,694 is 34765236

GCF of denominators i.e. for 741,341,498 is 1.

Thus, LCM of Fractions is 34765236.Finally, LCM of Fractions for 828/741, 363/341, 694/498 is 34765236.